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Finding the Fourth Proportional to 342.16, 472.44 and 225.88

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Solution

The fourth proportional to 342.16, 472.44 and 225.88 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.16 : 472.44 = 225.88 : x
  2. Step 2: Convert to fraction form
    342.16/472.44 = 225.88/x
  3. Step 3: Cross multiply
    342.16x = 472.44 × 225.88
  4. Step 4: Simplify right side
    342.16x = 106,714.75
  5. Step 5: Solve for x
    x = 106,714.75/342.16
  6. Step 6: Final answer
    x = 311.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.